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20104443304 = 23112176131993
BaseRepresentation
bin10010101110010100…
…010111010110101000
31220220010001112112021
4102232110113112220
5312133214141204
613122535554224
71311130643221
oct225624272650
956803045467
1020104443304
118587485900
123a90b2b974
131b852159ca
14d8a112248
157c9eec154
hex4ae5175a8

20104443304 has 96 divisors (see below), whose sum is σ = 43965187560. Its totient is φ = 8582492160.

The previous prime is 20104443301. The next prime is 20104443329. The reversal of 20104443304 is 40334440102.

It can be written as a sum of positive squares in 4 ways, for example, as 15675540804 + 4428902500 = 125202^2 + 66550^2 .

It is not an unprimeable number, because it can be changed into a prime (20104443301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10086532 + ... + 10088524.

Almost surely, 220104443304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104443304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982593780).

20104443304 is an abundant number, since it is smaller than the sum of its proper divisors (23860744256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20104443304 is a wasteful number, since it uses less digits than its factorization.

20104443304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2636 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 20104443304 its reverse (40334440102), we get a palindrome (60438883406).

The spelling of 20104443304 in words is "twenty billion, one hundred four million, four hundred forty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 613 748 968 1226 1496 1993 2057 2452 3986 4114 4904 6743 7972 8228 10421 13486 15944 16456 20842 21923 26972 33881 41684 43846 53944 67762 74173 83368 87692 114631 135524 148346 175384 229262 241153 271048 296692 372691 458524 482306 593384 745382 917048 964612 1221709 1260941 1490764 1929224 2443418 2521882 2981528 4099601 4886836 5043764 8199202 9773672 10087528 13438799 16398404 20769053 26877598 32796808 41538106 53755196 83076212 107510392 147826789 166152424 228459583 295653578 456919166 591307156 913838332 1182614312 1827676664 2513055413 5026110826 10052221652 20104443304